5938712640 has 560 divisors, whose sum is σ = 24536058624. Its totient is φ = 1335398400.

The previous prime is 5938712587. The next prime is 5938712641. The reversal of 5938712640 is 462178395.

5938712640 is a `hidden beast` number, since 5 + 9 + 387 + 1 + 264 + 0 = 666.

5938712640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

5938712640 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5938712641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12882010 + ... + 12882470.

It is a 1-persistent number, because it is pandigital, but 2⋅5938712640 = 11877425280 is not.

Almost surely, 2^5938712640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5938712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268029312).

5938712640 is an abundant number, since it is smaller than the sum of its proper divisors (18597345984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5938712640 is a wasteful number, since it uses less digits than its factorization.

5938712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5938712640 is about 77063.0432827565. The cubic root of 5938712640 is about 1810.9123774337.

It can be divided in two parts, 59387 and 12640, that added together give a palindrome (72027).

The spelling of 5938712640 in words is "five billion, nine hundred thirty-eight million, seven hundred twelve thousand, six hundred forty".